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Finding the Fourth Proportional to 714.60, 987.09 and 583.38

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Solution

The fourth proportional to 714.60, 987.09 and 583.38 is: 805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 987.09 = 583.38 : x
  2. Step 2: Convert to fraction form
    714.60/987.09 = 583.38/x
  3. Step 3: Cross multiply
    714.60x = 987.09 × 583.38
  4. Step 4: Simplify right side
    714.60x = 575,848.56
  5. Step 5: Solve for x
    x = 575,848.56/714.60
  6. Step 6: Final answer
    x = 805.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.